Ryspek Usubamatov, Dr. Tech.Sc, KSTU, Kyrgyzstan
Kyrgyz State Technical University
Title: Theory of gyroscopic effects for rotating objects
Biography
Biography: Ryspek Usubamatov, Dr. Tech.Sc, KSTU, Kyrgyzstan
Abstract
The gyroscopic effects do not have a full solution for more than one century. This is an unusual phenomenon in classical mechanics. The mathematician L. Euler described only one component of gyroscopic effects that is the change in the angular momentum. Other outstanding scientists presented only some simplified models for gyroscopic properties. The physics of the gyroscopic effects are more complex than represented in known approximated theories. The external torque applied on a gyroscope generates the system of eight interdependent inertial torques acting around three axes of 3D system coordinates. These inertial torques are produced by rotating the masses of the spinning disc. Gyroscopic torques are generated by the centrifugal, common inertial and Coriolis forces, as well as the change in the angular momentum of the spinning disc. The interrelated action of the inertial torques represents the fundamental principles of the gyroscope theory. The physics of all gyroscopic effects are described by new mathematical models and validated by practical tests. The gyroscope does not possess properties that contradict physical principles. The interrelated action of several inertial forces on the gyroscope manifests their deactivation in a case of blocking the motion around one axis. This phenomenon is the result of kinetic energy loss of the gyroscopic inertial torques. The new method for computing inertial torques can be applied to all rotating objects of different designs like a cone, sphere, paraboloid, ellipsoid, propeller, etc. The classical mechanics receive a new chapter for computing inertial forces and motions of rotating objects in space.